Contents: Pseudu-true values: Introduction Pseudo-true values
Extension to conditional distributions
Pseudo-true values of locations and scale parameters
Examples
Conclusion
Encompassing: Introduction
The data generating process and empirical models
Definition of encompassing
Properties of the encompassing relation
Encompassing and parsimony as a model reduction device
Examples
Conclusion
Testing the encompassing hypothesis: Introduction
Encompassing and other statistical hypotheses
The encompassing hypothesis in terms of almost sure limits
Limit distributions of the basic statistics
Limit distributions of quadratic forms
Encompassing tests
Nested models and implicit form formulation
Conclusion
Encompassing tests for the linear model: Introduction
The framework
Pseudo-true values and other limits
Limit distributions
Pseudo-ML estimators and basic statistics
Encompassing tests
Conclusion.